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Question 1521Question

The passage below is about the conservation of a local historic site. Read the passage and determine which word most precisely and clearly completes the sentence. What word should be written in the blank to maintain a formal, precise, and clear tone?

Fill in the blanks below

The local historical society recently acquired the 19th-century schoolhouse with the goal of saving it from demolition. Although the structure has suffered years of neglect, volunteers are determined to bring it back to life. By using historically accurate materials, they hope to the landmark to its original condition.
Show answer & explanation

Answer

restore
The word 'restore' is the most precise choice because it specifically means to return a building or object to its original, authentic state. This matches the context of using 'historically accurate materials' to return the schoolhouse to its 'original condition.'

Step-by-Step Solution

1
Analyze the context of the sentence containing the blank.
The text describes an effort to bring a historical landmark back to its 'original condition' using 'historically accurate materials.'
The surrounding sentences establish a context of preservation and returning a structure to its authentic past state.
2
Determine the word that most precisely fits the context of returning a historical structure to its original state.
The word 'restore' specifically means to return a building or object to its former, original, or unimpaired state.
Using a highly precise verb ensures the sentence is clear and formal.

Key Concept

Word Precision and Clarity
Estimated Time:45s
Question 1522Question

[1] In 1964, radio astronomers Arno Penzias and Robert Wilson were using the Holmdel Horn Antenna in New Jersey to detect weak radio waves from the spaces between galaxies. [2] To their frustration, they kept detecting a persistent, low-frequency hum that came from all directions in the sky, day and night. [3] They thoroughly cleaned the antenna, even removing a pair of pigeons that had nested inside the horn and scrubbing away the birds' nesting debris. [4] Despite their efforts, the mysterious static remained. [5] Pigeons are common in suburban New Jersey and are known for their strong homing instincts. [6] Penzias and Wilson eventually realized that this static was not local interference at all, but rather the cosmic microwave background radiation—the ancient echo of the Big Bang.

The writer is considering deleting Sentence 5 from the paragraph. Should the sentence be kept or deleted?

Show answer & explanation

Answer: Deleted, because it interrupts the focus of the paragraph on Penzias and Wilson's scientific discovery with irrelevant information about pigeons.

Answer

The sentence should be deleted because it interrupts the focus of the paragraph on Penzias and Wilson's scientific discovery with irrelevant information about pigeons.
The sentence should be deleted because it interrupts the focus of the paragraph on the scientific discovery of cosmic microwave background radiation with irrelevant details about the behavior of pigeons. While the previous sentence mentions removing pigeons to troubleshoot the antenna, the homing instincts of pigeons are not relevant to the scientists' breakthrough.

Step-by-Step Solution

1
Identify the main topic and focus of the paragraph.
The paragraph describes Penzias and Wilson trying to eliminate antenna static, which they eventually realize is the cosmic microwave background radiation.
Understanding the paragraph's main focus helps determine whether Sentence 5 contributes to or interrupts that focus.
2
Analyze the specific content and function of Sentence 5.
Sentence 5 provides a detail about the prevalence and homing instincts of pigeons in suburban New Jersey.
This allows us to evaluate if this detail supports the main narrative of the discovery or represents a digression.
3
Determine if Sentence 5 should be kept or deleted, and select the option with the correct reasoning.
The sentence should be deleted because it is irrelevant to the scientific discovery. The option stating that it interrupts the paragraph's focus with irrelevant information about pigeons is the correct choice.
Aligning the correct decision (delete) with the logical, text-dependent justification ensures the overall cohesion of the passage.

Key Concept

Sentence Addition and Deletion Decisions
Estimated Time:1m 30s
Question 1523Question

Archaeologists studying the Nabataean empire have uncovered sophisticated water management systems in the desert. These systems—crucial for survival in the arid environment, allowed a thriving civilization to flourish.

Which of the following options is the correct punctuation for the bolded portion?

Show answer & explanation

Answer: environment—allowed

Answer

environment—allowed
The correct answer correctly closes the parenthetical non-essential phrase with a dash ('—') to match the dash that opens the phrase after the word 'systems'. This preserves grammatical symmetry and prevents punctuation mismatch.

Step-by-Step Solution

1
Identify the non-essential parenthetical phrase in the sentence.
The phrase starting with '—crucial for survival...' provides extra information about the 'systems' and is non-essential.
Recognizing the structure helps determine what punctuation rules apply to enclosing this information.
2
Check the opening punctuation mark of the parenthetical phrase.
The phrase opens with a dash ('—') directly after the word 'systems'.
Punctuation marks used to set off non-essential elements must be consistent (comma with comma, parenthesis with parenthesis, or dash with dash).
3
Select the option that matches the opening punctuation mark to close the phrase.
A dash must be placed after 'environment' to match the dash before 'crucial'.
This maintains dash pair consistency and properly links the subject 'These systems' with its verb 'allowed'.

Key Concept

Dash Pair Consistency
Estimated Time:45s
Question 1524Question

Passage Excerpt:
During the construction of the Golden Gate Bridge in the 1930s, the US War Department lobbied for the bridge to be painted with yellow and black stripes to ensure visibility for passing military ships. However, consulting architect Irving Morrow disagreed. He argued that the steel primer coat—a vibrant, reddish-orange—blended with the surrounding landscape while remaining highly visible in the bay's frequent fog.

The writer wants to choose a phrase for the underlined portion that emphasizes how the color of the bridge harmonizes specifically with the natural, changing hues of the local terrain and water. Which choice best accomplishes this goal?

Show answer & explanation

Answer: complemented the warm gold of the coastal hills and the cool blues of the water

Answer

complemented the warm gold of the coastal hills and the cool blues of the water
The correct choice successfully details the natural elements of the local environment (the gold hills and blue water) while maintaining the historical past-tense narrative with the verb 'complemented'.

Step-by-Step Solution

1
Identify the requested rhetorical goal.
The prompt asks for a phrase that emphasizes how the bridge's color harmonizes with the natural, changing hues of the local terrain and water.
This establishes the criteria that the correct answer must fulfill.
2
Evaluate the choices for alignment with the rhetorical goal.
The phrase mentioning the gold of the coastal hills and the cool blues of the water describes the natural landscape's hues, unlike the options mentioning military ships or Spanish architecture.
Only this description directly satisfies the natural environment aspect of the prompt.
3
Check the verb tense for grammatical consistency with the passage.
The passage is set in the past tense, establishing that the correct verb must be 'complemented' rather than the present-tense 'complements'.
This ensures the selected option is both rhetorically and grammatically correct.

Key Concept

Meeting Specific Rhetorical Goals
Question 1525Question

Given the algebraic expression A=xy×z2A = x - y \times z^2, evaluate the expression for each of the following sets of values for (x,y,z)(x, y, z) and arrange the sets in order of their resulting values of AA from least to greatest.

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct order of the sets from least to greatest is: (x,y,z)=(5,1,2)(x, y, z) = (-5, 1, 2) resulting in 9-9, followed by (x,y,z)=(2,3,1)(x, y, z) = (-2, 3, -1) resulting in 5-5, then (x,y,z)=(8,4,0)(x, y, z) = (8, 4, 0) resulting in 88, and finally (x,y,z)=(4,2,3)(x, y, z) = (4, -2, 3) resulting in 2222.
The correct order follows from evaluating the algebraic expression for each set of values according to the order of operations (PEMDAS): exponentiation first, then multiplication, and finally subtraction. This yields values of 9-9, 5-5, 88, and 2222, which are ordered from least to greatest.

Step-by-Step Solution

1
Evaluate the expression A=xy×z2A = x - y \times z^2 for the set (x,y,z)=(5,1,2)(x, y, z) = (-5, 1, 2).
A=9A = -9
According to the order of operations, evaluate the exponent first: 22=42^2 = 4. Then perform multiplication: 1×4=41 \times 4 = 4. Finally, perform subtraction: 54=9-5 - 4 = -9.
2
Evaluate the expression A=xy×z2A = x - y \times z^2 for the set (x,y,z)=(2,3,1)(x, y, z) = (-2, 3, -1).
A=5A = -5
Evaluate the exponent first: (1)2=1(-1)^2 = 1. Next, multiply: 3×1=33 \times 1 = 3. Finally, subtract: 23=5-2 - 3 = -5.
3
Evaluate the expression A=xy×z2A = x - y \times z^2 for the set (x,y,z)=(8,4,0)(x, y, z) = (8, 4, 0).
A=8A = 8
Evaluate the exponent first: 02=00^2 = 0. Next, multiply: 4×0=04 \times 0 = 0. Finally, subtract: 80=88 - 0 = 8.
4
Evaluate the expression A=xy×z2A = x - y \times z^2 for the set (x,y,z)=(4,2,3)(x, y, z) = (4, -2, 3).
A=22A = 22
Evaluate the exponent first: 32=93^2 = 9. Next, multiply: 2×9=18-2 \times 9 = -18. Finally, subtract: 4(18)=4+18=224 - (-18) = 4 + 18 = 22.
5
Arrange the resulting values from least to greatest.
9<5<8<22-9 < -5 < 8 < 22
Comparing the four calculated values shows that 9-9 is the least, followed by 5-5, then 88, and 2222 is the greatest.

Key Concept

Order of Operations (PEMDAS)

Alternative Method

To verify the calculations, substitute each set of coordinates carefully, using parentheses around negative values. Evaluate each term step-by-step: first compute z2z^2, then multiply by yy, and finally subtract this result from xx.
Estimated Time:1m 30s
Question 1526Question

The prime factorization of a positive integer NN is 2a×3b×5c2^a \times 3^b \times 5^c, where aa, bb, and cc are positive integers. If NN has exactly 1212 distinct positive factors, what is the least possible value of NN?

Show answer & explanation

Answer: 60

Answer

60
The number of distinct positive factors of N=2a×3b×5cN = 2^a \times 3^b \times 5^c is given by the formula (a+1)(b+1)(c+1)(a+1)(b+1)(c+1). Given that NN has exactly 1212 positive factors and a,b,ca, b, c are positive integers (each at least 11), we must factor 1212 into three integers that are each at least 22. The only way to do this is 2×2×32 \times 2 \times 3. This means the set of exponents {a,b,c}\{a, b, c\} must be {1,1,2}\{1, 1, 2\}. To minimize the value of NN, we pair the largest exponent 22 with the smallest prime base 22, and the exponents of 11 with the prime bases 33 and 55. This yields the minimum value 22×31×51=602^2 \times 3^1 \times 5^1 = 60.

Step-by-Step Solution

1
Determine the formula for the number of positive factors of NN.
The number of positive factors is (a+1)(b+1)(c+1)=12(a+1)(b+1)(c+1) = 12.
For any integer expressed as a product of prime powers, the number of positive factors is the product of each exponent increased by 1.
2
Find the possible values for the exponents aa, bb, and cc.
Since a,b,c1a, b, c \ge 1, we must have a+12a+1 \ge 2, b+12b+1 \ge 2, and c+12c+1 \ge 2. The only factorization of 1212 into three integers each at least 22 is 2×2×32 \times 2 \times 3. Thus, the exponents {a,b,c}\{a, b, c\} must be {1,1,2}\{1, 1, 2\} in some order.
We must find a set of integer values for the exponents that satisfy the factor count constraint.
3
Minimize the value of NN by assigning exponents to the prime bases.
Assign the largest exponent (22) to the smallest base (22), and the smaller exponents (11) to the larger bases (33 and 55). This gives a=2,b=1,c=1a=2, b=1, c=1, so N=22×31×51=60N = 2^2 \times 3^1 \times 5^1 = 60.
To minimize the total product, the largest power must be applied to the smallest base.

Key Concept

Finding the number of factors of a positive integer using its prime factorization.
Estimated Time:1m 15s
Question 1527Question

A writer is editing a passage about the Wright brothers' early aviation experiments and has drafted the following paragraph:

In the autumn of 1901, Wilbur and Orville Wright realized that existing aerodynamic data was highly inaccurate, threatening to stall their aviation experiments. To resolve this, they constructed a wind tunnel in their bicycle shop. [1] The tunnel was a simple wooden box, six feet long and sixteen inches square, equipped with a fan driven by a two-horsepower gasoline engine. Inside, they tested sheet-metal lift balances, which they fabricated out of bicycle spokes and scrap metal. Through these rigorous trials, they collected the precise data necessary to design their successful 1902 glider.

The writer is considering adding the following sentence at Point [1]:

'The brothers also sold and repaired bicycles to fund their aviation research.'

Should the writer make this addition at Point [1]?

Show answer & explanation

Answer: No, because it interrupts the paragraph's description of the wind tunnel's construction and testing with unrelated information about their business.

Answer

The writer should not add the sentence because it interrupts the paragraph's focus on the construction and mechanical operation of the wind tunnel with unrelated details about their retail bicycle business.
The paragraph's primary focus is on the construction, dimensions, and operational function of the Wright brothers' wind tunnel as a tool to solve their aerodynamic data problem. The proposed sentence shifts the focus to how the brothers financed their research through their retail business, which is a tangential detail that interrupts the paragraph's technical description. Therefore, the sentence should not be added.

Step-by-Step Solution

1
Analyze the main focus of the paragraph.
The paragraph describes the Wright brothers' decision to build a wind tunnel, its physical dimensions, its mechanical components, and how they used it to collect aerodynamic data for their glider.
Understanding the paragraph's focus is necessary to evaluate the relevance of any proposed additions.
2
Evaluate the relevance of the proposed sentence.
The proposed sentence ('The brothers also sold and repaired bicycles to fund their aviation research') introduces details about their retail business operations and financing.
Evaluating the sentence allows us to determine if it aligns with the paragraph's established topic.
3
Determine if the sentence should be added.
Since the paragraph is focused on engineering and testing details, adding a sentence about retail sales and funding would interrupt the logical flow with irrelevant information. Therefore, the sentence should not be added.
The correct decision is based on whether the sentence supports or disrupts the cohesion of the paragraph.

Key Concept

Evaluating Relevance for Adding or Deleting Content
Estimated Time:1m 0s
Question 1528Question

Passage

Deep inside a sandstone mountain on the Norwegian island of Spitsbergen lies the Svalbard Global Seed Vault, which houses millions of seed samples to safeguard global biodiversity. The facility is carved into a solid rock hillside, utilizing the surrounding permafrost to maintain a natural freezing environment. . Therefore, the facility still relies on additional electrical cooling units to lower the temperature to the optimal 18C-18^\circ\text{C} required for long-term seed viability.

Which of the following choices best replaces the underlined portion to create a logical and grammatically correct transition between the two sentences?

Show answer & explanation

Answer: . However,

Answer

The option stating '. However,' is the correct choice because it establishes a contrast relationship between the natural cooling environment and the necessity of active electrical refrigeration, while using proper punctuation to separate the two independent clauses.
The correct choice is the option that begins with a period and uses the contrast transition 'However'. The passage establishes that the seed vault utilizes natural permafrost to maintain a freezing environment, but then states that active electrical cooling is still necessary to reach the required temperature. This requires a contrast transition, and the two independent clauses must be separated by a period to avoid a punctuation error.

Step-by-Step Solution

1
Analyze the relationship between the two sentences.
The first sentence describes the natural cooling provided by the permafrost, and the second sentence states that active refrigeration is still needed. These two ideas contrast.
Identifying the logical relationship allows us to choose the correct transition category.
2
Evaluate the transition words based on the contrast relationship.
'Therefore' and 'Furthermore' are incorrect because they indicate cause-effect and addition, respectively. 'However' is correct because it indicates contrast.
This narrows the choices down to the options containing 'however'.
3
Check the punctuation separating the two independent clauses.
Using a period to separate the clauses is grammatically correct. Using a comma before 'however' results in a comma splice.
Proper punctuation is required to join independent clauses without creating a run-on sentence.

Key Concept

Sentence-Level Transitions and Punctuation of Independent Clauses
Estimated Time:1m 0s
Question 1529Question

In 19281928, bacteriologist Alexander Fleming returned to his laboratory after a summer vacation and noticed something unusual in a discarded petri dish. A mold called *Penicillium notatum* had contaminated the dish, preventing the growth of surrounding staphylococci bacteria. Recognizing the significance of this occurrence, Fleming realized that the mold was producing a substance that could kill harmful pathogens. Although he published his findings, he did not have the resources to purify the active agent. Consequently, a couple of smart guys at Oxford University later finished the job, enabling the mass production of penicillin during World War II.

Which of the following choices best maintains the formal and objective tone established in the passage?

Show answer & explanation

Answer: researchers at Oxford University later purified the compound

Answer

Consequently, researchers at Oxford University later purified the compound
The correct option, which states that researchers at Oxford University later purified the compound, maintains a formal, objective, and neutral tone that is consistent with the rest of the passage. It is also concise and grammatically correct.

Step-by-Step Solution

1
Analyze the established tone of the passage.
The passage is a historical, scientific account written in a formal, objective, and neutral tone.
Identifying the established tone helps determine the appropriate register for any inserted text.
2
Evaluate the underlined phrase for tone consistency.
The phrase 'a couple of smart guys... finished the job' is highly informal and colloquial, which clashes with the passage's formal style.
This determines that the original phrasing needs correction.
3
Compare the remaining options to select the one that is grammatically correct, concise, and maintains the established tone.
The option stating that 'researchers at Oxford University later purified the compound' is objective, concise, and grammatically correct. The other options are either overly pretentious or wordy and redundant.
This identifies the correct choice without introducing grammatical errors, wordiness, or tone inconsistencies.

Key Concept

Stylistic Appropriateness
Question 1530Question

Urban heat islands develop when cities replace natural land cover with dense concentrations of pavement, buildings, and other surfaces that absorb and retain heat. To mitigate this effect, urban planners frequently advocate for the installation of green roofs. Because these vegetated spaces are covered in plants, they can lower surface temperatures by shading buildings and cooling the air through evapotranspiration.

Which choice most effectively minimizes redundancy while maintaining grammatical correctness?

Show answer & explanation

Answer: These vegetated spaces

Answer

The choice 'These vegetated spaces' is correct because it removes the redundant reference to plants while establishing a grammatically sound independent clause.
The option reading 'These vegetated spaces' successfully eliminates the redundant reference to plants while providing a clear subject for the main verb 'can lower', resolving the sentence into a grammatically correct structure.

Step-by-Step Solution

1
Analyze the underlined portion for redundancy.
The word 'vegetated' and the phrase 'covered in plants' repeat the same meaning.
ACT English style requires clear and concise phrasing that avoids repeating synonyms.
2
Evaluate the choices for grammatical correctness.
Some choices introduce errors: one creates a comma splice by connecting two independent clauses with only a comma, and another creates a fragment by removing the main independent clause.
Eliminating redundancy must not introduce new grammatical errors.
3
Identify the option that is both concise and grammatically correct.
The phrase 'These vegetated spaces' serves as the subject for the main verb 'can lower' without repeating any synonym concepts.
This is the most concise and structurally sound option.

Key Concept

Eliminating Redundancy
Estimated Time:1m 0s
Question 1531Question

What is the value of the expression 15+7-|-15 + 7|?

Show answer & explanation

Answer: 8-8

Answer

8-8
To find the value of 15+7-|-15 + 7|, we first evaluate the expression inside the absolute value bars: 15+7=8-15 + 7 = -8. Next, we take the absolute value of that result: 8=8|-8| = 8. Finally, we apply the negative sign that is outside the absolute value bars, which gives 8-8.

Step-by-Step Solution

1
Evaluate the expression inside the absolute value bars.
15+7=8-15 + 7 = -8
Before applying the absolute value, the terms inside the vertical bars must be simplified according to the order of operations.
2
Find the absolute value of the result from Step 1.
8=8|-8| = 8
The absolute value of a number represents its distance from zero on a number line, which is always non-negative.
3
Apply the negative sign that is outside the absolute value bars.
(8)=8- (8) = -8
The negative sign outside acts as multiplication by 1-1 after the absolute value has been evaluated.

Key Concept

Evaluating expressions involving absolute values and negative numbers
Question 1532Question

After living in the arid desert of Arizona for nearly a decade, the field researcher was accustomed with the extreme daytime temperatures and scarce water resources. Which choice best completes the sentence idiomatically?

Show answer & explanation

Answer: accustomed to

Answer

accustomed to
The adjective 'accustomed' idiomatically requires the preposition 'to' when expressing that someone is used to or familiar with a particular condition or environment. Therefore, the option containing 'accustomed to' is the correct choice.

Step-by-Step Solution

1
Identify the underlined phrase and the word that requires a prepositional partner.
The adjective is 'accustomed', which is currently paired with the preposition 'with'.
Idiomatic word choice questions in ACT English often test the correct preposition that must follow a specific adjective or verb.
2
Recall the correct idiomatic preposition that pairs with 'accustomed' to mean 'used to' or 'familiar with'.
The correct preposition is 'to', forming the idiom 'accustomed to'.
While other prepositions like 'with', 'of', or 'by' might seem plausible, 'accustomed to' is the only standard idiomatic construction in English.

Key Concept

Idiomatic preposition usage after adjectives
Question 1533Question

Consider the passage below about a significant scientific discovery:

[1] In 1938, Marjorie Courtenay-Latimer, a museum curator in South Africa, received a call from a local fisherman who had caught an unusual blue fish. [2] Recognizing its scientific importance, she contacted her colleague, chemistry professor and amateur ichthyologist J.L.B. Smith, to help identify it. [3] Unfortunately, due to the remote location and limited communication options of the era, Smith did not receive her letter for several weeks. [4] By the time he finally arrived to examine the specimen, it had already been taxidermied, making detailed internal analysis impossible. [5] Nevertheless, Smith immediately identified the creature as a coelacanth, a prehistoric fish thought to have gone extinct 66 million years ago.

The writer wants to insert this sentence into the paragraph:

"During this delay, the fish's soft tissues began to decay rapidly in the warm weather."

For the paragraph to remain coherent, where is the best position for this sentence?

Show answer & explanation

Answer: following sentence 3

Answer

following sentence 3
Placing the sentence after sentence 3 is correct because it links the chronological timeline: sentence 3 introduces a weeks-long delay, which provides a direct logical referent for the phrase 'this delay.' Additionally, the decay of the fish's soft tissues provides the cause that led to the taxidermy described in sentence 4.

Step-by-Step Solution

1
Analyze the target sentence for logical and grammatical clues.
The phrase 'During this delay' indicates that the target sentence must follow a sentence that describes a period of waiting or delayed progress.
Identifying transition markers helps locate the necessary context in the paragraph.
2
Scan the paragraph for a sentence describing a delay.
Sentence 3 states that J.L.B. Smith 'did not receive her letter for several weeks,' which constitutes a significant delay.
Finding the antecedent for 'this delay' narrows down the potential insertion points.
3
Check the cause-and-effect relationship with the surrounding sentences.
Inserting the sentence after sentence 3 explains why the fish had to be taxidermied by the time Smith arrived (sentence 4), completing the logical chain of events.
Ensuring the sentence fits seamlessly between the preceding and succeeding sentences confirms the correct placement.

Key Concept

Sentence Reordering and Placement
Question 1534Question

Early motion pictures were recorded on cellulose nitrate film, a highly volatile medium that decays rapidly under standard conditions. To preserve these cultural artifacts, archivists must store them in specialized vaults with sub-freezing temperatures. Without these strict interventions, these irreplaceable historical records will inevitably succumb to degradation.

Which of the following choices best replaces the underlined portion of the passage?

Show answer & explanation

Answer: NO CHANGE

Answer

The original phrasing 'succumb to' best maintains the tone of the passage and is idiomatic.
The original phrasing 'succumb to' fits the formal, academic tone of the passage perfectly and uses the correct idiomatic preposition 'to'.

Step-by-Step Solution

1
Analyze the tone established by the surrounding sentences in the passage.
The passage contains formal terms such as 'volatile medium,' 'cultural artifacts,' and 'strict interventions,' which establish a formal and academic tone.
Understanding the paragraph's tone is necessary to determine which word choice will maintain consistency.
2
Evaluate the options to identify which one matches the established formal tone and is grammatically correct.
The phrase 'succumb to' is formal and idiomatically correct. The phrase 'bite the dust' is too informal, 'submit themselves before the inevitability of' is overly dramatic and wordy, and 'succumb under' uses an incorrect preposition.
This allows the selection of the single option that is both stylistically consistent and grammatically accurate.

Key Concept

Tone Consistency
Question 1535Question

To ward off predators, some species of beetles produce a toxic spray through a rapid chemical reaction in their glands, which is a defensive mechanism that currently at this time serves to deter attackers.

Which of the following choices best replaces the underlined portion of the sentence to ensure that the sentence is clear, grammatically correct, and free of redundancy?

Show answer & explanation

Answer: serving to

Answer

serving to
The correct option is 'serving to' because it is the most concise choice that preserves the meaning of the sentence. The phrase 'To ward off predators' already implies that the spray is a defense mechanism, making the words 'defensive mechanism' unnecessary. Additionally, it eliminates the redundant time indicators 'currently' and 'at this time' without creating grammatical issues.

Step-by-Step Solution

1
Identify redundancies in the original sentence.
The phrase 'To ward off predators' indicates defense, making 'defensive mechanism' redundant. The words 'currently' and 'at this time' are synonyms that express the same time frame.
Eliminating redundant words makes the sentence concise and improves readability.
2
Evaluate the remaining options for grammatical correctness.
The option containing 'this defensive mechanism' creates an ungrammatical comma splice. The option containing 'which, because' creates an incomplete fragment. The option 'serving to' is concise and grammatically correct.
The correct answer must not introduce new grammatical errors while fixing the redundancy.

Key Concept

Eliminating Redundancy
Estimated Time:1m 0s
Question 1536Question

Let SS be the set of all positive integers nn such that the least common multiple of nn and 4040 is 360360, and the greatest common divisor of nn and 100100 is a prime number. What is the sum of all possible values of nn in set SS?

Show answer & explanation

Answer: 63

Answer

63
To find the sum of all possible values of nn, we first analyze the prime factorizations: 40=23×540 = 2^3 \times 5 and 360=23×32×5360 = 2^3 \times 3^2 \times 5. The least common multiple of nn and 4040 is 360360, meaning nn must be of the form 2a×32×5c2^a \times 3^2 \times 5^c where 0a30 \le a \le 3 and 0c10 \le c \le 1. Testing the candidate values against the condition that GCD(n,100)\text{GCD}(n, 100) must be a prime number (where 100=22×52100 = 2^2 \times 5^2) reveals that only n=18n = 18 (with GCF of 22) and n=45n = 45 (with GCF of 55) satisfy the conditions. The sum of these values is 18+45=6318 + 45 = 63.

Step-by-Step Solution

1
Find the prime factorizations of the given numbers: 4040 and 360360.
40=23×540 = 2^3 \times 5 and 360=23×32×5360 = 2^3 \times 3^2 \times 5.
Expressing the numbers in their prime factorizations helps determine the required prime factors of nn to satisfy the least common multiple condition.
2
Determine the constraints on the prime factorization of nn based on LCM(n,40)=360\text{LCM}(n, 40) = 360.
nn must be of the form 2a×32×5c2^a \times 3^2 \times 5^c, where 0a30 \le a \le 3 and 0c10 \le c \le 1.
Since the least common multiple is the product of the highest powers of all prime factors present in either number, nn must provide 323^2 (as 4040 has 303^0), can have 2a2^a up to 232^3, and can have 5c5^c up to 515^1.
3
List all 8 possible candidate values for nn.
For c=0c=0: n{9,18,36,72}n \in \{9, 18, 36, 72\}. For c=1c=1: n{45,90,180,360}n \in \{45, 90, 180, 360\}.
Evaluating all combinations of the exponents aa and cc generates the complete list of candidates.
4
Calculate the greatest common divisor of each candidate nn with 100=22×52100 = 2^2 \times 5^2, and check if the result is prime.
GCD(9,100)=1\text{GCD}(9, 100) = 1 (not prime); GCD(18,100)=2\text{GCD}(18, 100) = 2 (prime); GCD(36,100)=4\text{GCD}(36, 100) = 4 (not prime); GCD(72,100)=4\text{GCD}(72, 100) = 4 (not prime); GCD(45,100)=5\text{GCD}(45, 100) = 5 (prime); GCD(90,100)=10\text{GCD}(90, 100) = 10 (not prime); GCD(180,100)=20\text{GCD}(180, 100) = 20 (not prime); GCD(360,100)=20\text{GCD}(360, 100) = 20 (not prime). The valid values for nn are 1818 and 4545.
Only n=18n = 18 and n=45n = 45 satisfy the condition that their greatest common divisor with 100100 is a prime number (22 and 55, respectively).
5
Calculate the sum of the possible values of nn.
18+45=6318 + 45 = 63.
Summing the identified valid values yields the final answer.

Key Concept

Determining possible values of an unknown integer using prime factorization constraints from least common multiple (LCM) and greatest common divisor (GCD) conditions.
Question 1537Question

Preservationists working on the restoration of the historic theater discovered that the ornate plaster ceiling, though seemingly stable, was slowly and gradually deteriorating over a long period of time.

Which of the following is the best replacement for the underlined portion?

Show answer & explanation

Answer: deteriorating slowly

Answer

The option that reads 'deteriorating slowly' is the correct answer because it is the most concise choice and avoids any redundant phrasing or grammatical errors.
The correct answer is the option that simply states the ceiling was deteriorating slowly. It is the most concise choice and conveys the intended meaning without repeating synonyms or adding wordy, grammatically flawed explanations.

Step-by-Step Solution

1
Identify the redundant elements in the original underlined phrase.
The words 'slowly' and 'gradually' mean the same thing in this context, and 'over a long period of time' repeats that same idea of a slow, ongoing process.
ACT English questions require eliminating redundant words to make the sentence as concise as possible while retaining the original meaning.
2
Evaluate the remaining choices for conciseness and grammatical correctness.
The option containing 'it was a gradual process' introduces a comma splice and repeating synonyms. The option containing 'which was because of time' is grammatically incorrect and wordy. The option 'deteriorating slowly' is concise and free of errors.
The correct choice must not only be concise but also grammatically sound.

Key Concept

Eliminating redundancy in ACT English involves choosing the most concise option that preserves the sentence's meaning without repeating synonyms or adding unnecessary explanation.
Question 1538Question

Although the curator hoped to display the rare Renaissance painting, the museum's security system was currently at this present moment inadequate.

Which of the following choices best represents the most concise and grammatically correct option for the underlined portion?

Show answer & explanation

Answer: inadequate.

Answer

The option that replaces the underlined text with 'inadequate.' is correct because it removes the redundant temporal words while maintaining a grammatically correct sentence structure.
The option that simply ends with 'inadequate.' is correct. It eliminates the redundant temporal phrases ('currently' and 'at this present moment') and correctly completes the independent clause with a single, clear predicate adjective.

Step-by-Step Solution

1
Analyze the underlined portion for redundant phrasing.
The words 'currently' and 'at this present moment' repeat the same meaning, which violates the ACT rule of conciseness.
Redundant synonyms should be eliminated to make the sentence direct and concise.
2
Evaluate the remaining choices for grammatical correctness.
The option adding 'they had to upgrade it' creates a comma splice, and the option starting a new sentence with 'Because' creates a fragment. The single word 'inadequate.' is grammatically correct and concise.
The correct choice must not introduce new grammatical errors while fixing the redundancy.

Key Concept

Eliminating Redundancy
Question 1539Question

Tempering chocolate is a precise process that involves heating and cooling the liquid cacao to specific temperatures. This method aligns the fat crystals in the cocoa butter, which ensures the chocolate cools into a glossy, crisp shell. If the temperature is off by even a few degrees, the cocoa butter will separate, causing the chocolate to look dull and become soft. Bakers must follow these temperature guidelines carefully to achieve the desired texture.

Which choice is the most precise and contextually appropriate word for the bolded portion?

Show answer & explanation

Answer: NO CHANGE

Answer

NO CHANGE
The word 'follow' is the most precise and idiomatic verb to describe adhering to directions or guidelines.

Step-by-Step Solution

1
Analyze the context of the sentence to determine the meaning of the bolded word.
The sentence describes bakers adhering to specific temperature guidelines to achieve a desired texture in tempered chocolate.
Understanding the context helps identify the correct action word needed.
2
Evaluate the choices for precision, idiom, and tone.
The word 'follow' is the standard, idiomatic verb used for adhering to instructions. 'Enforce' implies policing rules, 'command' implies ordering others, and 'chase' implies physical pursuit.
Comparing choices ensures the most precise and context-appropriate word is selected.

Key Concept

Word Precision and Clarity
Estimated Time:45s
Question 1540Question

For decades, paleontologists believed that the coelacanth—a primitive, deep-sea fish—had gone extinct during the Late Cretaceous period. Therefore, in 1938, a museum curator in South Africa discovered a living specimen among a local fisherman's catch, challenging long-held assumptions about evolutionary history.

Which of the following choices best replaces the underlined portion to establish a logical transition?

Show answer & explanation

Answer: However,

Answer

The transition 'However,' is correct because it logically connects the belief of extinction with the contrasting discovery of the living fish.
The transition 'However,' is correct because it establishes a logical contrast between the previous sentence (stating that scientists believed the coelacanth had gone extinct millions of years ago) and the current sentence (stating that a living specimen was discovered in 1938).

Step-by-Step Solution

1
Analyze the relationship between the first sentence and the second sentence.
The first sentence states that scientists believed the coelacanth was extinct. The second sentence describes the discovery of a living coelacanth.
To choose the correct transition, the logical relationship between these two points must be identified.
2
Determine the logical relationship type.
The relationship is one of contrast: the discovery of a living fish directly contradicts the belief that it was extinct.
Identifying the correct relationship type narrows down the transition choices.
3
Evaluate the transition choices to find the one that indicates contrast.
'However,' is a contrast transition and fits the context perfectly. 'Therefore' (cause-effect), 'Moreover' (addition), and 'Indeed' (emphasis) do not fit.
Selecting the transition that aligns with the contrast relationship ensures a cohesive and logical passage.

Key Concept

Sentence-level transitions link sentences by establishing logical relationships such as contrast, cause-and-effect, addition, or emphasis.
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